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Beliebt Rechnen >

derivative of ln((2x/3))

Lösung

\frac{d}{d x} (ln (\frac{2 x}{3}))

Lösung

\frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (\frac{2 x}{3}))

Wende die Kettenregel an:

\frac{1}{\frac{2 x}{3}} \frac{d}{d x} (\frac{2 x}{3})

= \frac{1}{\frac{2 x}{3}} \frac{d}{d x} (\frac{2 x}{3})

\frac{d}{d x} (\frac{2 x}{3}) = \frac{2}{3}

= \frac{1}{\frac{2 x}{3}} \cdot \frac{2}{3}

Vereinfache

\frac{1}{\frac{2 x}{3}} \cdot \frac{2}{3} : \frac{1}{x}

= \frac{1}{x}

Graph

Beliebte Beispiele

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